Whether it’s for personal or business use, you should be comfortable and confident with your image. You shouldn’t have to crop yourself out of group photos or settle on a photo that looks dated or unflattering.
If you don’t like the image you’re using on LinkedIn or as part of your bio, change it. Get a new one. If you don’t currently have a business portrait or professional headshot, now might be the time to let other people see you the way you see yourself.